2015120 has 20 divisors (see below), whose sum is σ = 4685340. Its totient is φ = 806016.

The previous prime is 2015107. The next prime is 2015141. The reversal of 2015120 is 215102.

It can be written as a sum of positive squares in 2 ways, for example, as 1449616 + 565504 = 1204^2 + 752^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2015120² = 8121417228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12515 + ... + 12674.

It is an arithmetic number, because the mean of its divisors is an integer number (234267).

2^2015120 is an apocalyptic number.

2015120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2015120 is an abundant number, since it is smaller than the sum of its proper divisors (2670220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2015120 is a wasteful number, since it uses less digits than its factorization.

2015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25202 (or 25196 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2015120 is about 1419.5492242258. The cubic root of 2015120 is about 126.3088083374.

The spelling of 2015120 in words is "two million, fifteen thousand, one hundred twenty".